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On cubes of Frobenius extensions

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arxiv 1308.5994 v2 pith:NFANZLI4 submitted 2013-08-27 math.RT math.QA

Ben Elias , Noah Snyder , Geordie Williamson This is my paper · ORCID
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keywords extensionsfrobeniusalgebrasariseauthorsbimodulescoloredcommutative
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Given a hypercube of Frobenius extensions between commutative algebras, we provide a diagrammatic description of some natural transformations between compositions of induction and restriction functors, in terms of colored transversely-intersecting planar 1-manifolds. The relations arise in the first and third authors' work on (singular) Soergel bimodules.

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  1. HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

    math.QA 2019-08 accept novelty 7.0 of 10

    Links in genus-g handlebodies are assigned a triply-graded homology built from singular Soergel bimodules and Hochschild cohomology, generalizing colored HOMFLYPT homology.

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